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+--------------------------------------------------------------------------------
+module Xanthous.Physics
+  ( throwDistance
+  , bluntThrowDamage
+  ) where
+--------------------------------------------------------------------------------
+import Xanthous.Prelude
+import Xanthous.Data
+       ( Meters
+       , (:**:)(..)
+       , Square
+       , Grams
+       , (|*|)
+       , (|/|)
+       , Hitpoints
+       , Per (..)
+       , squared
+       , Uno(..), (|+|)
+       )
+--------------------------------------------------------------------------------
+
+-- university shotputter can put a 16 lb shot about 14 meters
+-- ≈ 7.25 kg 14 meters
+-- 14m = x / (7.25kg × y + z)²
+-- 14m = x / (7250g × y + z)²
+--
+-- we don't want to scale down too much:
+--
+-- 10 kg 10 meters
+-- = 10000 g 10 meters
+--
+-- 15 kg w meters
+-- = 15000 g w meters
+--
+-- 14m = x / (7250g × y + z)²
+-- 10m = x / (10000g × y + z)²
+-- wm = x / (15000g × y + z)²
+--
+-- w≈0.527301 ∧ y≈0.000212178 sqrt(x) ∧ z≈1.80555 sqrt(x) ∧ 22824.1 sqrt(x)!=0
+--
+-- x = 101500
+-- y = 0.0675979
+-- z = 575.231
+--
+
+-- TODO make this dynamic
+strength :: Meters :**: Square Grams
+strength = Times 10150000
+
+yCoeff :: Uno Double
+yCoeff = Uno 0.0675979
+
+zCoeff :: Uno Double
+zCoeff = Uno 575.231
+
+-- | Calculate the maximum distance an object with the given weight can be
+-- thrown
+throwDistance
+  :: Grams  -- ^ Weight of the object
+  -> Meters -- ^ Max distance thrown
+throwDistance weight = strength |/| squared (weight |*| yCoeff |+| zCoeff)
+
+-- | Returns the damage dealt by a blunt object with the given weight when
+-- thrown
+bluntThrowDamage
+  :: Grams
+  -> Hitpoints
+bluntThrowDamage weight = throwDamageRatio |*| weight
+  where
+    throwDamageRatio :: Hitpoints `Per` Grams
+    throwDamageRatio = Rate $ 1 / 5000